The incident took place on Monday when the victim, a resident of Janpad Hapur village had come to a weekly market near Budhana gate, police said.
She was offered a lift by three youths, who later forcefully took her to the house in Fatehullalpur area and gave a drink laced with sedatives following which the woman fell unconscious. The youths then took turns to rape her, they said.
A case has been registered against three youths on the basis of a complaint filed by the woman.
Two of the accused have been identified as Rashid and Mashru, they said.
Efforts to the nab the three accused are on, police said.